1297008213408 has 288 divisors, whose sum is σ = 3885363977040. Its totient is φ = 409816350720.

The previous prime is 1297008213407. The next prime is 1297008213409. The reversal of 1297008213408 is 8043128007921.

It is a happy number.

1297008213408 is a `hidden beast` number, since 1 + 29 + 7 + 0 + 0 + 8 + 213 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (1297008213407) and next prime (1297008213409).

It can be written as a sum of positive squares in 8 ways, for example, as 54469958544 + 1242538254864 = 233388^2 + 1114692^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1297008213407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312304260 + ... + 312308412.

Almost surely, 2^{1297008213408} is an apocalyptic number.

1297008213408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1297008213408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942681988520).

1297008213408 is an abundant number, since it is smaller than the sum of its proper divisors (2588355763632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1297008213408 is a wasteful number, since it uses less digits than its factorization.

1297008213408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1297008213408 in words is "one trillion, two hundred ninety-seven billion, eight million, two hundred thirteen thousand, four hundred eight".